Sum rules and giant resonances in nuclei

Lipparini, E.; Stringari, S.

doi:10.1016/0370-1573(89)90029-x

Cited by 323 publications

(388 citation statements)

References 292 publications

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“…with obvious consequences for the estimated GDR frequencies (6). The lines are broadened by several effects (for an extensive review see [38]): coupling of the collective strength to the 1ph states (spreading width, often called Landau fragmentation), particle escape into the continuum (escape width; see, e.g.…”

Section: A Simple Estimatesmentioning

confidence: 99%

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Dipole giant resonances in deformed heavy nuclei

et al. 2005

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The spectral distribution of isovector dipole strength is computed using the time-dependent Skyrme-HartreeFock method with subsequent spectral analysis. The calculations are done without any imposed symmetry restriction, allowing any nuclear shape to be dealt with. The scheme is used to study the deformation dependence of giant resonances and its interplay with Landau fragmentation (owing to 1ph states). Results are shown for the chain of Nd isotopes, superdeformed 152 Dy, triaxial 188 Os, and 238 U.

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Section: A Simple Estimatesmentioning

confidence: 99%

“…Since its first observation [1], it has been much studied. For reviews see, for example [2,3] from the experimental side and [4][5][6][7] for the theoretical aspects, or [8] for both. Yet, there are still many interesting questions that deserve continued studies on that subject.…”

Section: Introductionmentioning

confidence: 99%

Dipole giant resonances in deformed heavy nuclei

et al. 2005

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“…It is well known that the energies of the compression modes, the isoscalar giant monopole resonance (ISGMR) and isoscalar giant dipole resonance (ISGDR), are very sensitive to the value of K NM [1,3,8]. Also the energies of the isovector giant resonances, in particular, the isovector giant dipole resonance (IVGDR), are sensitive to the density dependence of E sym [9,10], commonly parameterized in terms of the quantities J, L and K sym , which are the value of E sym (ρ) at saturation density (also known as symmetry energy coefficient), and the quantities directly related to the derivative and the curvature of E sym (ρ) at the saturation density, respectively. Furthermore, information on the density dependence of E sym can also be obtained by studying the isotopic dependence of strength functions, such as the difference between the strength functions of 40 Ca and 48 Ca and between 112 Sn and 124 Sn.…”

Section: Introductionmentioning

confidence: 99%

Giant resonances in40Ca and48Ca

et al. 2013

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We present results of fully self-consistent Hartree-Fock based random phase approximation calculations of the strength functions S(E) and centroid energies E CEN of isoscalar (T = 0) and isovector (T = 1) giant resonances of multipolarities L = 0 -3 in 40 Ca and 48 Ca, using a wide range of commonly employed 18 Skyrme type nucleonnucleon effective interactions. We determined the sensitivities of E CEN and of the isotopic differences E CEN ( 48 Ca) -E CEN ( 40 Ca) to physical quantities, such as nuclear matter incompressibility coefficient, symmetry energy density and effective mass, associated with the Skyrme interactions and compare the results with the available experimental data.

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“…[32][33][34] Of particular interest are the m −1 , m 1 , and m 3 moments. For the dipole operator along the x direction, F = D x = e͚ i=1 N x i , they read Fig.…”

Section: A Electric Dipole Polarizability and Sum Rulesmentioning

confidence: 99%

“…36 The usefulness of the above sum rules lies in that, under some conditions, one may obtain information about the dipole strength just from the ground state structure of the system. In particular, they allow to define two average excitation energies, 32,33 namely, E 1 ϵ͑m 1 / m −1 ͒ 1/2 and E 3 ϵ͑m 3 / m 1 ͒ 1/2 , which give more weight either to the low-energy or to the high-energy part of the spectrum, respectively. If the excitation spectrum is concentrated in a fairly narrow energy region, E 1 or E 3 represent the mean energy of the excited mode.…”

Section: A Electric Dipole Polarizability and Sum Rulesmentioning

confidence: 99%

Addition energies and density dipole response of quantum rings under the influence of in-plane electric fields

et al. 2007

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Within density functional theory, we address the effect of an in-plane electric field E on the ground state and the density dipole response of a many-electron quantum ring, which is also submitted to a perpendicular magnetic field B. Addition energies and density dipole spectra are discussed as a function of E. For the two-electron case, an exact numerical calculation is performed, obtaining the spin-phase diagram in the E-B plane and showing that transitions between singlet and triplet spin states can be induced by varying the fields. We also find that, in spite of the deformation that E causes in the electronic density, the spin of the ground state of a given electron number ring is very robust, changing little as the strength of the electric field is reasonably increased.

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Sum rules and giant resonances in nuclei

Cited by 323 publications

References 292 publications

Dipole giant resonances in deformed heavy nuclei

Dipole giant resonances in deformed heavy nuclei

Giant resonances in40Ca and48Ca

Addition energies and density dipole response of quantum rings under the influence of in-plane electric fields

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